B2GM, October 15, 2018

Phase 2
Achievements
March 19 - July 17, 2018

Y. OhnishiBefore starting Phase 2
Kaminari-mon Gate

Senso-ji (Buddist temple), Tokyo2

Before starting Phase 2
Kaminari-mon Gate

Senso-ji (Buddist temple), Tokyo

2

Targets in Phase 2 Commissioning

1. Verification of nano-beam scheme
Squeezing βy* down to a few mm < σz.
Luminosity increases even though βy* is smaller than σz.
Beam-Beam parameter, ξy > 0.03
34
-2
-1
L = 10 cm s at 1 [A] beam current in the LER

2. Understanding and reduction of Belle II backgrounds
3. Establishment of the injection system
3Verification of Nano-Beam Scheme

TargetAchievements

Remarkβy* = 3 mm

βy* = 2 mm
is tested formachine study

Luminosity increases eventhough βy* < σz.

confirmed

XY coupling at the
IP is adjusted by
QC1.

Beam-Beam Parameter,ξy > 0.03

ξy- = 0.021

Squeezing βy*down to 2 mm

L = 1034 cm-2s-1
at 1 [A] in LER

at Ib+ = 0.67 mA

L = 2.29 x 1033 cm-2s-1
at 0.265 [A] in LER4

ξy+ = 0.030
at Ib- = 0.55 mA
L = 9x1033 cm-2s-1
at 1 [A] in LER
extrapolation
by a factor 4

Beta Squeezing at IP"Detuned optics"

The smallest βy* in the world！

vacuumscrubbing<latexit sha1_base64="V0vzfspabdZ6Jx+qxCdg89F1gBw=">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</latexit><latexit sha1_base64="V0vzfspabdZ6Jx+qxCdg89F1gBw=">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</latexit>

βy* < σzFirst collision5⇤
y = 3 mm⇤y = 3 mm

Verification of Nano-Beam Scheme
1
L/ p
"y y⇤

or

L/

⇠y

<latexit sha1_base64="CNiWeZEcUyrQ9SiR1Qh/jKH9gNA=">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</latexit>

⇤
y

⇠y /

<latexit sha1_base64="BFbsMaFKO8U7s8BJqUk7YuA5A0k=">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</latexit>

s

⇤
y

"y

<latexit sha1_base64="UblaTPoostcYkVIBngbaNf34/ng=">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</latexit>

Event though emittance tuning
is improved by global optics correction.

βy* < σzβy* = σz6βy* > σzVerification of Nano-Beam Scheme
1
L/ p
"y y⇤

L/

or

⇠y

<latexit sha1_base64="CNiWeZEcUyrQ9SiR1Qh/jKH9gNA=">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</latexit>

⇠y /

⇤
y

<latexit sha1_base64="BFbsMaFKO8U7s8BJqUk7YuA5A0k=">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</latexit>

s

⇤
y

"y

<latexit sha1_base64="UblaTPoostcYkVIBngbaNf34/ng=">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</latexit>

2
2
=
µ
"y
y
<latexit sha1_base64="jbLr/u5TQHXqV8ueoxacsdFXBns=">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</latexit>

✓

Waist
y +

s

2

y

◆

+

⇢

XY coupling(R2 + R4 s)2

+

x

2
(R
+
R
s)
x
1
3

Local error in QCS
Event though emittance tuning
is improved by global optics correction.

βy* < σzβy* = σz6βy* > σz

YZ coupling
+ (⌘y

)2

Verification of Nano-Beam Scheme
1
L/ p
"y y⇤

L/

or

⇠y

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⇠y /

⇤
y

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s

⇤
y

"y

<latexit sha1_base64="UblaTPoostcYkVIBngbaNf34/ng=">AAACmXichVFBaxQxGH0dW61rtatehF6WLi3iYflGCoqnFS/FU9t120KnHTJjtobOzsRMdnEc9g/4BwQ9KYiU/gnBi/XuoT+h9NiClx767exAqUX9QpKXl+99eUkCHanUEh2MOVfGJ65em7xeuTF189Z09fad1TTpmVC2wyRKzHogUhmpWLatspFc10aKbhDJtWDn2XB/rS9NqpL4hc203OyK7Vh1VCgsU351wXuj/KzmaZNom9S89LWxudcxIsy9QFrhZ1sPBrnXF0bqVEUsyQYDv1qnBhVRuwzcEtRRxlJS/QoPL5EgRA9dSMSwjCMIpNw24IKgmdtEzpxhpIp9iQEqrO1xluQMwewOj9u82ijZmNfDmmmhDvmUiLthZQ1z9It26Zh+0B4d0ulfa+VFjaGXjOdgpJXan353r/X7v6ouzxavzlX/9GzRwePCq2LvumCGtwhH+v7b98etJytz+Tx9piP2/4kO6DvfIO6fhF+W5cpHVPgD3D+f+zJYfdhwqeEuL9SbzfIrJjGDWdzn936EJhaxhDaf+wHfsI+fzozz1Fl0no9SnbFScxcXwmmdAU0Ln9g=</latexit>

XY coupling at IP
corrected by QCS
2
2
=
µ
"y
y
<latexit sha1_base64="jbLr/u5TQHXqV8ueoxacsdFXBns=">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</latexit>

✓

Waist
y +

s

2

y

◆

+

⇢

XY coupling(R2 + R4 s)2

+

x

2
(R
+
R
s)
x
1
3

Local error in QCS
Event though emittance tuning
is improved by global optics correction.

βy* < σzβy* = σz6βy* > σz

YZ coupling
+ (⌘y

)2

Verification of Nano-Beam Scheme
1
L/ p
"y y⇤

L/

or

⇠y

<latexit sha1_base64="CNiWeZEcUyrQ9SiR1Qh/jKH9gNA=">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</latexit>

⇠y /

⇤
y

<latexit sha1_base64="BFbsMaFKO8U7s8BJqUk7YuA5A0k=">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</latexit>

s

⇤
y

"y

<latexit sha1_base64="UblaTPoostcYkVIBngbaNf34/ng=">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</latexit>

XY coupling at IP
corrected by QCS

Emittance
is improved.

2
2
=
µ
"y
y
<latexit sha1_base64="jbLr/u5TQHXqV8ueoxacsdFXBns=">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</latexit>

✓

Waist
y +

s

2

y

◆

+

⇢

XY coupling(R2 + R4 s)2

+

x

2
(R
+
R
s)
x
1
3

Local error in QCS
Event though emittance tuning
is improved by global optics correction.

βy* < σzβy* = σz6βy* > σz

YZ coupling
+ (⌘y

)2

Adjustment of XY Coupling with QC1 Skew Quadrupoles<latexit sha1_base64="K6UMVTQqJJNlfsjXmMxpiWz50CA=">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</latexit>⇤x = 200 mm

Before R2 adjustment⇤
y = 4 mm

Extremely low bunch current
15.8 mA/1576 bunches
to avoid beam-beam blowup as much as possible
and to get geometrical luminosity.

⌃y =<latexit sha1_base64="1aP9Gzs4nuAbODfTB57f9m6Isgg=">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</latexit>q

0.1 mA/bunch
⇤2 +
y

⇤2
y+

<latexit sha1_base64="VhrUFUKmhosH8kvjuXyJpYBqWhA=">AAACgXicSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvIxBRnpucmxlfGadnGBEOY+jHFhUUl1Ua18QLKBnoGYKCAyTCEMpQZoCAgX2A5QwxDCkM+QzJDKUMuQypDHkMJkJ3DkMhQDITRDIYMBgwFQLFYhmqgWBGQlQmWT2WoZeAC6i0FqkoFqkgEimYDyXQgLxoqmgfkg8wsButOBtqSA8RFQJ0KDKoGVw1WGnw2OGGw2uClwR+cZlWDzQC5pRJIJ0H0phbE83dJBH8nqCsXSJcwZCB04XVzCUMagwXYrZlAtxeARUC+SIboL6ua/jnYKki1Ws1gkcFroPsXGtw0OAz0QV7Zl+SlgalBsxm4wBFgCQYKEIa5CZRhaQiPgDAjPUMDPcNAE2UHB2hUcDBIMygxaADD25zBgcGDIYAhFGhvE8MKho0Mm5iYmTSZDJiMIEqZGKF6hBlQAJM1AIUplPw=</latexit>⇤y = ⌃y /p

2

LumiBelle2 is good performance !
Very large beam size !

7

Y. Funakoshi

Adjustment of XY Coupling with QC1 Skew Quadrupoles<latexit sha1_base64="K6UMVTQqJJNlfsjXmMxpiWz50CA=">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</latexit>⇤x = 200 mm

After R2 adjustment

Before R2 adjustment⇤
y = 4 mm

Extremely low bunch current
15.8 mA/1576 bunches
to avoid beam-beam blowup as much as possible
and to get geometrical luminosity.

⌃y =<latexit sha1_base64="1aP9Gzs4nuAbODfTB57f9m6Isgg=">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</latexit>q

0.1 mA/bunch
⇤2 +
y

⇤2
y+

<latexit sha1_base64="VhrUFUKmhosH8kvjuXyJpYBqWhA=">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</latexit>⇤y = ⌃y /p

2

LumiBelle2 is good performance !
Very large beam size !
Estimation from X-Ray Monitor:
σy* = 400 nm (LER), 500 nm (HER)
No change after adjustment of
X-Y coupling(R2) at IP
Measurement by beam-beam scan:σy* = 1253 nm → 689 nm
Beam size becomes small !
7

Y. Funakoshi

Smallest Beam Size measured from Beam-Beam Scan
After R2 adjustment<latexit sha1_base64="z2RzB0zsKeKYXVNXWmOhydCFVGU=">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</latexit>⇤x = 200 mm⇤
y = 3 mm

Extremely low bunch current
15.8 mA/1576 bunches
to avoid beam-beam blowup as much as possible
and to get geometrical luminosity.
0.1 mA/bunch⌃⇤y =<latexit sha1_base64="RwskXwTOCtXkcdY8UItTce/fS1c=">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</latexit>

q

⇤2 +
y

⇤2
y+

<latexit sha1_base64="kOLnZUpob6VMragWu8Ffk4Y8Bos=">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</latexit>

p
⇤
⇤
=
⌃
y
y/ 2

σy* = 333 nm

Y. Funakoshi

8Specific Luminosity and Beam-Beam Parameter
0.081@1.04 mA

0.088@1.44 mA

Reference bunch current
High bunch current

L = 2.29 x 1033

LLsp =nb I + I<latexit sha1_base64="X+4n6kPuj97xoHC3vdReCpUktKQ=">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</latexit>

11.25 ⇥ 1025
2
1
2
=
=
[cm
s
/mA
]
2
⇤
⇤
4⇡( z x )e f0 yy

The beam-beam parameter is 0.02.

The beam size from Lsp is consistent with that of no beam-beam.
Lsp = 4x1031 ! σy* = 300 nm (εy = 30 pm)↔ εy = 23 pm for single beam in LER

9Specific Luminosity and Beam-Beam Parameter
0.081@1.04 mA

0.088@1.44 mA

Reference bunch current
High bunch current

L = 2.29 x 1033
Beam-Beam Blowup
Collective effectLuminosity drop at low current. ☞ issue in Phase 3
L
Lsp =nb I + I<latexit sha1_base64="X+4n6kPuj97xoHC3vdReCpUktKQ=">AAAC6XichVHLbtQwFL0Jj5bh0QAbHpuKUVEBdXoTtSpCIBWxoVIXfTBtpcnESoJnak1eijOjTq2wYsWOFQhWgBBCfAYbfqCLfkJhWSQ2LLiTScWjAq5l+/j4nutj20sCITPEXU0/cvTY8ZHRE5WTp06fGTPOnluTcTf1ed2Pgzjd8FzJAxHxeiaygG8kKXdDL+DrXufeYH+9x1Mp4uhB1k94M3TbkWgJ382IYsbjRaZkkt+xW6nrq8VcRcxbYDcW2NQBZ+Zqxk7EpC1FO3TZtp1sCrZ1jTtWi2FJ9p3reeUgv2bN2pkIuTTRUdZsnqtfsh41/NBRU1YuaTTz6fCuYzWZUcUaFjF+GJglqEIZS7HxDmx4CDH40IUQOESQEQ7ABUmtASYgJMQ1QRGXEhLFPoccKqTtUhanDJfYDo1tWjVKNqL1oKYs1D6dElBPSTkOE7iD73EfP+EH3MPvf62lihoDL32avaGWJ2zsyYXVb/9VhTRnsPlT9U/PGbTgZuFVkPekYAa38If63vaz/dVbKxPqKr7GL+T/Fe7iR7pB1Pvqv13mKy+hQh9g/vnch8GaVTOxZi7PVOdvl18xCpfhCkzSe8/BPNyHJajTuZ81Q7uoXdI7+lP9uf5imKprpeY8/Bb6mx/N3LrJ</latexit>

11.25 ⇥ 1025
2
1
2
=
=
[cm
s
/mA
]
2
⇤
⇤
4⇡( z x )e f0 yy

The beam-beam parameter is 0.02.

The beam size from Lsp is consistent with that of no beam-beam.
Lsp = 4x1031 ! σy* = 300 nm (εy = 30 pm)↔ εy = 23 pm for single beam in LER

9Specific Luminosity and Beam-Beam Parameter
0.081@1.04 mA

0.088@1.44 mA

Reference bunch current
High bunch current

L = 2.29 x 1033
Beam-Beam Blowup
Collective effectLuminosity drop at low current. ☞ issue in Phase 3
L
Lsp =nb I + I<latexit sha1_base64="X+4n6kPuj97xoHC3vdReCpUktKQ=">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</latexit>

11.25 ⇥ 1025
2
1
2
=
=
[cm
s
/mA
]
2
⇤
⇤
4⇡( z x )e f0 yy

The beam size from Lsp is consistent with that of no beam-beam.
Lsp = 4x1031 ! σy* = 300 nm (εy = 30 pm)↔ εy = 23 pm for single beam in LER

The beam-beam parameter is 0.02.
The beam-beam parameter is saturated at highbunch current. ☞ issue in Phase 3
9Beam-Beam Blowup<latexit sha1_base64="9AtisYU1DMgmVAzZLYvllqyyo5A=">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</latexit>⇤y = 3 mm⇤x = 200 mm

LER:<latexit sha1_base64="edZwxhJjqJ5nhhjBxbhOkRalIBc=">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</latexit>

Beam size at IP estimated from luminosity

HER:<latexit sha1_base64="+lMcjkNbbTvg5oOhKtCaCnLokeM=">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</latexit>⇤
x = 100 mm

Beam size at IP estimated from X-Ray Monitor

July/3⇤y [nm]¯y⇤ [nm]

June/29<latexit sha1_base64="m2+EBYEUTTMZHICZAWMfsGQQIAg=">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</latexit><latexit sha1_base64="vVulJHywbSCFCE2m2UaetjxHZfw=">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</latexit>

July/3<latexit sha1_base64="NmUGRSKcKslB9P9pUumO6pkZPO4=">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</latexit>⌃⇤y =<latexit sha1_base64="RwskXwTOCtXkcdY8UItTce/fS1c=">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</latexit>

q

⇤2 +
y

⇤2
y+

N+ H fcol
L= p
P
⇤
⇤
2 2⇡ x yεy = 120 pm

εy = 30 pm~ 300 nm (almost consistent with single beam)⇤⌃y⇤¯y = p2

June/29

Beam size is large at the low bunch current in LER.
Blowup is also significant at high bunch current.

<latexit sha1_base64="MbYIVqpWIJdK3e5RDOM+4E3qeko=">AAACm3ichVHLahRBFD1pH0nGRyZmI4gwOEQk4nB7CIkJCAPZBAmSh5ME0knT3dZMivTLrpohk6Z/ID/gQjcKIuJfJJtA3LrIJ4jLCG5ceKenUUTUW1TXqVP33DrV1419qTTR2ZBx4eKly8Mjo6UrV69dHyuP31hXUSfxRNOL/CjZdB0lfBmKppbaF5txIpzA9cWGu7fQP9/oikTJKHyqe7HYDpx2KFvSczRTdnlm6ZHVShwvfWLfX7QftOyUa2ZZWrfU80Sn9cyKpaVkO3Ds/Z0pS3UCu7czldnlKtUoj8qfwCxAFUUsR+V3sPAMETx0EEAghGbsw4HisQUThJi5baTMJYxkfi6QocTaDmcJznCY3eNvm3dbBRvyvl9T5WqPb/F5JqysYJI+0Xs6pxP6QJ/p+19rpXmNvpcer+5AK2J77PDm2rf/qgJeNXZ/qf7pWaOFh7lXyd7jnOm/whvouwcvztfmVyfTu/SGvrD/13RGx/yCsPvVe7siVl+ilDdgLo/KAMxOF2DO/NmA9XrNpJq5Ml1tNIpWjOAW7uAe/+9ZNLCIZTT53lc4wik+GreNBeOxsTRINYYKzQR+C6P5A+Pwn/4=</latexit>

10Degradation of Specific Luminosity
Beam-Beam simulations with machine error (W-S)>> meas.

>> IP knob scanInterference of Beam-Beam and lattice nonlinear degrades luminosity.
QC2RP
measured magnetic fieldalong beam axis
(N. Ohuchi)

Error field:
sextupoleskew sextupole
in QCS
QC2RE
11

K. OhmiCorrection of Machine Error
skew quad-like coilrotatable sextupole

Skew quadrupole corrector coils in QCS (for each main quads.)
Rotatable sextupoles in LER
Sextupole corrector coils in QCS
Skew sextupole corrector coils in QCS
Octupole corrector coils in QCS
octupole
QC2LP

QC2LE
octupole

sextupoleskew sextupole
skew sextupole
QC2RE
QC1RE

octupole
QC1LP

QC1LE
octupole

IP

12

QC1RP
QC2RP
octupole
skew sextupole
sextupole
sextupoleTravel Guide for Luminosity Mountain
Specific Luminosity is improving day by day.
Luminosity contour

High bunch current(nb=395)
Lpeak=2.29x1033@ 270 mA

extrapolation

x4 L=9x1033@ 1.08 [A](nb=1576)~ 1034

Referencebunch current(nb=789)13

History of Phase 2

Max. IHER = 800 mA

Max. ILER = 860 mA

Lpeak = 5.55 x 1033 cm-2s-1

14

Machine Parameters in Phase 2
High bunch current

I @ Lpeak

ReferenceHigh current

LER

HER

LER

HER

LER

HER

Unit

265

217

327

279

788

778

mA

nb

395

789

1576

I/nb

0.670

0.549

0.414

0.353

0.500

0.494

mA/bunch

εx

1.8

4.6

1.7

4.6

1.7

4.6

nm

βx*

200

100

200

100

200

100

mm

βy*

3

3

3

3

3

3

mm

νx

44.56245.54244.55845.54144.56145.545νy46.61743.60946.61543.61046.61443.612σy* (XRM)

883

652

692

486

1285*

528

- *

σy = Σy*/√2
ξy
L

797
0.030

552
0.021

0.0277879
0.01860.0244nm
nm

0.01412.29 x 1033

2.62 x 1033

5.55 x 1033

test of luminosity performance

typical physics run*εy enhancement in LER

cm-2s-1
15

Integrated Luminosity

Daily Integrated Luminosity in Phase 2 (0 - 9am for 40 days)

ONLINE Data

1853 pb-1

454 pb-1

What's happen ?

24.5 %

16

Issues in Phase 2

17

QCS Quench
Adjustment of the movable collimators

Belle II abort system (diamond abort)

ILER [mA] IHER [mA]

Collimators arealmost full open.

Number of QCS
quenches per day<latexit sha1_base64="9AtisYU1DMgmVAzZLYvllqyyo5A=">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</latexit>

HER Injection
HER Storage
LER Injection
LER Storage

The first collision
tuninginjection kicker
in LER(K2-3)

RF phase scan
Unstable region
for BxB FB？

Injectionwith ECK

Collimators not optimized
well when beta squeezing⇤y = 3 mm
Synchrotron
oscillation in LER
Damage of collimator headin HER

Damage of collimator headin LER

Test ofwaist knob

The first trialof beta squeezing
18

High temperature Beam operation was
due to Hot summer sometimes unstable.

Damage of Movable Collimator (Head)
Vertical Collimator

Compromise lifetime, injection,and detector background.

D01H4 D01H5
D01V1

Belle II

BottomLER

Topelectron

D02H4 D02H3
D02V1

new type

KEKB typeouter of the ring
New collimator (SLAC type)HER
KEKB type
D06H4
D06H3

width 12 mm
Top headelectron bam

Number of movable collimators is small in LER.
Especially, only one in the vertical.
Y. Suetsugu, T. Ishibashi, S. Terui
19

Incident of Collimator Damage

non-collisionno injection

collision

July 9June 25

QCS quench (LER and HER)LER vertical collimator has damage.
Vacuum pressure rise was observedin the vicinity of the collimator.
20

QCS quench (HER)
HER vertical collimator has damage.
Vacuum pressure rise was observedin the vicinity of the collimator.
No bunch oscillation with beam loss

Summary

Beckoning cat(Fortune cat)... To be continued in Phase 3

It is believed to draw happiness and customers.
"luminosity"

21Appendix

22

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

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However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

L ! large<latexit sha1_base64="HrGfafV95HEmGVQs+qw4qpaLOUk=">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</latexit>

N N + nb f 0± I± ⇠y±
p
L=
'
⇤
⇤
⇤
2ere
4⇡( x,ef f ) "y yyLuminosity<latexit sha1_base64="hGC3TiAEAMW7b164I52AwNakkbY=">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</latexit>

Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">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</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">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</latexit>

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

<latexit sha1_base64="FH4F7+8loQx1hFrpbtq/fHTuiT0=">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</latexit>

However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

L ! large<latexit sha1_base64="HrGfafV95HEmGVQs+qw4qpaLOUk=">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</latexit>

N N + nb f 0± I± ⇠y±
p
L=
'
⇤
⇤
⇤
2ere
4⇡( x,ef f ) "y yyLuminosity<latexit sha1_base64="hGC3TiAEAMW7b164I52AwNakkbY=">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</latexit>

Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">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</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">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</latexit>

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

<latexit sha1_base64="FH4F7+8loQx1hFrpbtq/fHTuiT0=">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</latexit>

However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

L ! large<latexit sha1_base64="HrGfafV95HEmGVQs+qw4qpaLOUk=">AAACgHichVG7ThtBFD1sSAIOxCZpkNxYsYyozF1kiUCFlMYFhW1isGRb1u4ymBH70uzYPCyQ0uYHKKhAQlaUJvmGNPxACj4hSkmkNClyvV4lQijhjmbnzJl77pzZa4eujDTRzYTxaPLxk6dT06lnM7PP05m5F1tR0FOOqDuBG6iGbUXClb6oa6ld0QiVsDzbFdv2/pvR+XZfqEgG/lt9FIq2Z3V9uSsdSzPVyWQ3cqctJbt72lIqODhteXZwOHAt1RUnnUyeihRH7j4wE5BHEpUgM0QLOwjgoAcPAj40YxcWIh5NmCCEzLUxYE4xkvG5wAlSrO1xluAMi9l9/nZ510xYn/ejmlGsdvgWl6diZQ4F+kof6Jau6SN9o1//rDWIa4y8HPFqj7Ui7KTfz2/+fFDl8aqx91f1X88au3gde5XsPYyZ0Sucsb5/fHa7uVYrDBbokr6z/wu6oS/8Ar//w7mqito5UnEDVuPIjcFKKQGr5p8GbC0XTSqa1VJ+vZy0YgpZvMIi/+8VrKOMCup87zsM8QmfDcNYNJYMc5xqTCSal7gTxtpvRjyVbg==</latexit>

N N + nb f 0± I± ⇠y±
p
L=
'
⇤
⇤
⇤
2ere
4⇡( x,ef f ) "y yyLuminosity<latexit sha1_base64="hGC3TiAEAMW7b164I52AwNakkbY=">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</latexit>

Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">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</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">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</latexit>

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

<latexit sha1_base64="FH4F7+8loQx1hFrpbtq/fHTuiT0=">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</latexit>

However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

L ! large<latexit sha1_base64="HrGfafV95HEmGVQs+qw4qpaLOUk=">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</latexit>

N N + nb f 0± I± ⇠y±
p
L=
'
⇤
⇤
⇤
2ere
4⇡( x,ef f ) "y yyLuminosity<latexit sha1_base64="hGC3TiAEAMW7b164I52AwNakkbY=">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</latexit>

Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">AAACiHichVG7ThtBFD1eSAImCQYapDRWLFAq665lyTgVggY6XjZILLJ2N4MZsS/Njs1jZXryAymoQIqiKEXapKbhB1LwCYgSpDQpuF6vEkVRkjuanTNn7rlzZq8TeTLWRNc5Y2j40eMnI6P5safPno8XJiabcdhRrmi4oReqLceOhScD0dBSe2IrUsL2HU9sOvuL/fPNrlCxDIMNfRSJHd9uB3JXurZmqlUoLbcSK/J7xRNLyfaetpUKD04sLX0RW74THiaVHmdRmdIo/gnMDJSQxUpY+AALbxDCRQc+BAJoxh5sxDy2YYIQMbeDhDnFSKbnAj3kWdvhLMEZNrP7/G3zbjtjA973a8ap2uVbPJ6KlUXM0Df6SHd0RZ/ohn78tVaS1uh7OeLVGWhF1Bp/O73+/b8qn1eNvV+qf3rW2MVc6lWy9yhl+q9wB/ru8bu79ddrM8ksXdAt+z+na7rkFwTde/f9qlg7Qz5tQD2N4gDUqhmomz8b0KyUTSqbq9XS/FLWihG8wEu84v9dwzyWsIIG33uKz/iCr0beIKNm1AepRi7TTOG3MBYeAD3DmPA=</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">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</latexit>

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

<latexit sha1_base64="FH4F7+8loQx1hFrpbtq/fHTuiT0=">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</latexit>

However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

L ! large<latexit sha1_base64="HrGfafV95HEmGVQs+qw4qpaLOUk=">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</latexit>

N N + nb f 0± I± ⇠y±
p
L=
'
⇤
⇤
⇤
2ere
4⇡( x,ef f ) "y yyLuminosity<latexit sha1_base64="hGC3TiAEAMW7b164I52AwNakkbY=">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</latexit>

Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">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</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>"y ! small<latexit sha1_base64="9ZA1gL/BP/Hqk1Qj2UXcqxhmddI=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">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</latexit>

Luminosity in Nano-Beam Scheme

re N ⌥⇠y± =⇤2⇡ ± ( x,ef f )Beam-Beam
Parameter

s

⇤
y

"y

<latexit sha1_base64="FH4F7+8loQx1hFrpbtq/fHTuiT0=">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</latexit>

However⇤y<latexit sha1_base64="7z8ugBBQzedvx6GDx60G/4p2tBU=">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</latexit>⇠y ! small! small<latexit sha1_base64="R0xAYFiEZistSBpEDvW9z3gY5ig=">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</latexit>

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N N + nb f 0± I± ⇠y±
p
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Final Target

I± ! ⇥ 2<latexit sha1_base64="3gJIlfay0gk8CCgGKxmWx2Yztas=">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</latexit><latexit sha1_base64="CJ4W+W4OSGZ/kPTcG8ckUj0cy3U=">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</latexit>⇤y! ⇥ 1/20
23⇠y ! ⇥ 1<latexit sha1_base64="DgD2AznZAAJoaF9nAckteYOwSME=">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</latexit>"y ! small<latexit sha1_base64="9ZA1gL/BP/Hqk1Qj2UXcqxhmddI=">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</latexit>

L ! ⇥ 40<latexit sha1_base64="LLY7FtWlZRvquDdFntl903dq7CI=">AAACg3icSyrIySwuMTC4ycjEzMLKxs7BycXNw8vHLyAoFFacX1qUnBqanJ+TXxSRlFicmpOZlxpaklmSkxpRUJSamJuUkxqelO0Mkg8vSy0qzszPCympLEiNzU1Mz8tMy0xOLAEKxQvI+SjUxRRlpmeUJBYV5ZfXxZRk5qYWx+Qm5VdUmxjUxgsoG+gZgIECJsMQylBmgIKAfIHlDDEMKQz5DMkMpQy5DKkMeQwlQHYOQyJDMRBGMxgyGDAUAMViGaqBYkVAViZYPpWhloELqLcUqCoVqCIRKJoNJNOBvGioaB6QDzKzGKw7GWhLDhAXAXUqMKgaXDVYafDZ4ITBaoOXBn9wmlUNNgPklkognQTRm1oQz98lEfydoK5cIF3CkIHQhdfNJQxpDBZgt2YC3V4AFgH5Ihmiv6xq+udgqyDVajWDRQavge5faHDT4DDQB3llX5KXBqYGzWbgAkeAJRgoQBjmJlCGpSE8AsKM9AwN9AwDTZQdPKBRwcEgzaDEoAEMb3MGBwYPhgCGUKC9LQyrGDYzbGFiZdJmMmIygShlYoTqEWZAAUy2AIbslmM=</latexit>

Overlap Region at IP
Ordinary collision (KEKB)

Nano-Beam (SuperKEKB Phase2)

σ = 4.5 mm
σ = 550 μm

measurement at Bellemeasurement at Belle II

The vertex distribution is constrainedin the nano-beam scheme.

bunch length x 2
24I. Adachi, T. Iijima

Rotation Error of QCS
XY couplings

skew quads.
skew quads.

IP

r1
QC1R
r2

QC1L
The same amount of rotation does not affectarc sections.

r3
r4

The global correction of XY couplings can notcorrect XY coupling at the IR completely.
IP
XY coupling at IP remains locally.
Skew quads in QCS can be used to correct the local XY couplings.
25

Waist Scan by using QC1
LER

HER

Δs = -1.14 mm

Δs = +0.4 mm

Beam size

Beam Size

Luminosity

Luminosity

LER Waist Position

HER Waist Position26

Collision Tuning with IP Knobs
A. Morita, Y. Funakoshi

IP XY coupling knob and dispersion knob
Skew quadrupole coils at sextupoles are utilized.

Beam size(XRM)
Luminosity
r1* in HER
27

Beam Lifetime
LER<latexit sha1_base64="9ES9Z/12c/B7T5iOhTFtDdnFzcg=">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</latexit>⇤x = 200 mm

HER

June 12, 2018

June 12, 2018⇤
y = 3 mm<latexit sha1_base64="9ES9Z/12c/B7T5iOhTFtDdnFzcg=">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</latexit>

LER current:
320 mA
Touschek lifetime: 35 min (nb: 789)
lifetime (others): 80 min⇤
x = 200 mm⇤
y = 3 mm

HER current:
285 mA
Touschek lifetime: 86 min (nb: 789)
lifetime (others): 28 hours

Physical aperture limits the beam lifetime.
Movable collimators to reduce background and avoid QCS quench28

εy is controlled by vertical dispersions.

Sextupole Tuning and Beam Lifetime
ID number specifies a different set of sextupole combination.
5 sets of sextupole settings
June 27, 20182’

improvebeam lifetime

532← Beam size larger

1

4’

ref.

2’ : with optics correction
4’ : with optics correction

σy measured by XRM

4Beam size smaller →Sextupole tuning could not improve the beam lifetime in the LER.
Physical aperture limits the beam lifetime. (Tracking simulation supports this.)29

HER Tune and Detector Background
H. Nakayama
slide from Phase 2 summary meeting

Luminosity run, May 29, 2018
HER Vertical Tune

HER Beam Current
LER Beam Current

HER tune clearly affects the beam background.
We have to find better a working point
and necessary to keep tunes.

30Bunch Current Monitor

Pilot bunch(non-collision)

Pilot bunch(non-collision)Tunes are measured by gated tune meter.
31

Betatron Tune Feedback
optics server

We have applied tune feedback system for the last week of Phase 2.
Tune shift due to resistive wall is compensated.
(dependent on the beam current)

injection

injection

matching and send "set magnet" to optics server
32

optics server

Measurement of Electron CloudY. Suetsugu et al.

Additional permanent magnets
Threshold is much improved.
more than twice of 0.2 mA/bunch/RF bucket

Mode of CBI changes and the growth rate is reduced.
Phase 1: June 9, 2016

Phase 2: July 12, 2019noblowup33